Introduction to Symplectic Dirac Operators

One of the basic ideas in differential geometry is that the study of analytic properties of certain differential operators acting on sections of vector bundles yields geometric and topological properties of the underlying base manifold. Symplectic spinor fields are sections in an L^2-Hilbert space b...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Habermann, Katharina (Author), Habermann, Lutz (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006.
Edition:1st ed. 2006.
Series:Lecture Notes in Mathematics, 1887
Subjects:
Geometry, Differential.
Global analysis (Mathematics).
Manifolds (Mathematics).
Differential Geometry.
Global Analysis and Analysis on Manifolds.
Online Access:Texto Completo
Table of Contents:
  • Background on Symplectic Spinors
  • Symplectic Connections
  • Symplectic Spinor Fields
  • Symplectic Dirac Operators
  • An Associated Second Order Operator
  • The Kähler Case
  • Fourier Transform for Symplectic Spinors
  • Lie Derivative and Quantization.

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